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Publication : mercredi 2 novembre 2016 18:43

Monographies

1. M. Benchohra, L. Gorniewicz, S.K. Ntouyas and A. Ouahab, Existence results for nondensely defined impulsive semilinear functional differential equations, Nonlinear Analysis and Applications, dedicated to V. Lakshmikantham for his 80th birthday, Vol. 1 edited by R.P. Agarwal and D. O’Regan, Kluwer Academic Publishers, 2003.
2. Controllability of Some Nonlinear Systems in Banach Spaces; (the fixed point theory approach) (A. Benchohra L. Gorniewicz and S.K. Ntouyas), Plock University Press, 2003 (261 pp.)
3. Impulsive Differential Equations and Inclusions (A. Benchohra , J. Henderson and S.K. Ntouyas), Contemporary Mathematics and its applications, Hindawi Publishing Corporation, Vol. 2, New York, 2006 (366 pp.)
4. Existence and Structure of Solution Sets for Impulsive Differential Inclusions (S. Djebali, L. Gorniewicz , A. Ouahab), Lecture Notes, Nicolaus Copernicus University No 13, 2012.
5. Solutions Sets for Differential Equations and Inclusions (S. Djebali, L.Gorniewicz, A. Ouahab), De Gruyter Series in Nonlinear Analysis and Applications 18. Berlin: de Gruyter, 2013.
6. Impulsive Differential Inclusions: A Fixed Point Appraoch(J.R Graef, J. Henderson, A. Ouahab) De Gruyter Series in Nonlinear Analysis and Applications 20. Berlin: de Gruyter, 2013.
7. Topics in Fractional Differential Equations (S. Abbas, A. Benchohra and G. N’Guérékata), Springer, New York, 2012 (xiv+396 pp).
8. Advanced Fractional Differential Equations and Inclusions, (S. Abbas, A. Benchohra and G. N’Guérékata), Nova Science Publishers, New York, 2015.
9. Advanced Functional Evolution Equations and Inclusions; (S. Abbas and A. Benchohra), Springer, New York, 2015 (to appear).

Publications dans des revues internationales :

Publications 2011

• M. Benchohra, J.J. Nieto and A. Ouahab, Second order boundary value problem with integral boundary conditions, Boundary Value Problems. Volume 2011, Article ID 260309, 9 pages.
• R.P. Agarwal, M. Benchohra, S. Hamani and S. Pinelas, Boundary value problem for differential equations involving Riemann-Liouville fractional derivative on the half line, Dynamics of Continuous, Discrete and Impulsive Systems Vol. 18 (2011), 235-244.
• S. Abbas, and M. Benchohra, Existence theory for impulsive partial hyperbolic differential equations of fractional order at variable times, Fixed Point Theory Vol. 12 (2011), 3-16.
• M. Benchohra, and B. Hedia, Impulsive differential equations with integral boundary conditions and infinite delay, Journal of Advanced Research in Dynamical and Control Systems Vol. 3 N°1 (2011), 59-75.
• N. Abada, R.P. Agarwal, M. Benchohra and H. Hammouche, Impulsive semilinear neutral functional differential inclusions with multivalued jumps, Applications of Mathematics Vol. 56 N° 2 (2011), 227-250.
• M. Benchohra and S. Litimein, A global uniqueness result for abstract integral equations of Volterra type in Banach spaces, Communications on Applied Nonlinear Analysis Vol. 18 N°1 (2011), 37-44.
• M. Benchohra, S. Djebali and S. Hamani, Boundary value problem for differential inclusions with Riemann-Liouville fractional derivative, Nonlinear Oscillations Vol. 14 N°1 (2011), 7-20.
• S. Abbas, M. Benchohra and J.J. Nieto, Global uniqueness results for fractional order partial hyperbolic functional differential equations, Advances in Difference Equations.Volume 2011, Article ID 379876, 25 pages.
• M. Benchohra, and N. Hamidi, Fractional order differential inclusions via the topological transversality method, Cubo, A Mathematical Journal Vol. 13 No 2 (2011), 139-149.
• S. Abbas, M. Benchohra and L. Gorniewicz, Fractional order impulsive partial hyperbolic differential inclusions with variable times, Discussiones Mathematicae Differential Inclusions, Control and Optimization Vol. 31 N° 1 (2011), 91-114.
• M. Benchohra, J. Henderson and F. Ouaar, Bounded solutions to an initial value problem for fractional differential equations on the half-line, Panamerican Mathematical Journal Vol. 21 No. 2 (2011), 35-44.
• M. Benchohra and D. Seba, Impulsive partial hyperbolic fractional order differential equations in Banach spaces, Journal of Fractional Calculus and Applications, Vol. 1 No. 4 (2011), 1-12.
• M. Belmekki, M. Benchohra and K. Ezzinbi, Existence results for some partial functional differential equations with state-dependent delay, Applied Mathematics Letters Vol. 24 (2011), 1810-1816.
• M. Benchohra and S. Litimein, Fractional integro-differential equations with state-dependent delay on an unbounded domain, African Diaspora Journal of Mathematics Vol. 12, N°2 (2011), 13-25.
• S. Abbas, M. Benchohra and Y. Zhou, Fractional order partial hyperbolic functional differential equations with state-dependent delay, International Journal of Dynamical Systems and Differential Equations Vol. 3 N°4 (2011), 459-490.
• M. Benchohra, J. Graef and F. Mostefai, Weak solutions for boundary-value problems with nonlinear fractional differential inclusions, Nonlinear Dynamics and System Theory Vol. 11 N° 3 (2011), 227-237.
• S. Abbas, M. Benchohra, Upper and lower solutions method for partial hyperbolic differential equations with Caputo’s fractional derivative, Libertas Mathematica Vol. 31 (2011), 103-110.
• M. Benchohra and D. Seba, Bounded solutions for boundary value problems for fractional differential equations on a Banach space and the half line, Journal of Nonlinear Studies Vol. 18 N°4 (2011), 549-558.
• S. Abbas, and M. Benchohra, Darboux problem for implicit impulsive hyperbolic partial fractional order differential equations, Electronic Journal of Differential Equations Vol. 2011 (2011), No. 150, pp. 1-14.
• R.P. Agarwal, M. Benchohra, S. Hamani and S. Pinelas, Upper and lower solutions method for impulsive differential equations involving the Caputo fractional derivative, Memoirs on Differential Equations and Mathematical Physics Vol. 53 (2011), 1-12.
• S. Djebali, L. Gorniewicz and A. Ouahab, Topological structure of solutions sets of Impulsive differential inclusions in Fréchet spaces, Nonlinear Analysis TMA and Applications Methods, 74 (2011) 2141–2169.
• J. Henderson and A. Ouahab, On the solution sets for first order impulsive neutral differential inclusions in Banach spaces, Dynamics of Continuous, Discrete and Impulsive Systems, 18 (2011) 53-114.
• J.R. Graef, J. Henderson and A. Ouahab, Differential inclusions with nonlocal conditions existence results and topological properties of solution sets, Topological Methods in Nonlinear Analysis, 37(2011) 117-145.

Publications 2012

• M. Benchohra and F. Mostefai, Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces, Opuscula Mathematica Vol.32 No.1 (2012), 31-40.
• M. Benchohra and B. Hedia, Impulsive functional differential inclusions with state-dependent delay and variable times, Communications in Applied Analysis Vol. 16 No.1 (2012), 47-62.
• M. Benchohra, F. Berhoun and G. N’Guérékata, Bounded solutions for fractional order differential equations on the half-line, Bulletin of Mathematical Analysis and Applications Vol. 4 No. 1 (2012), 62-71.
• S. Abbas, M. Benchohra, and J. Henderson, On global asymptotic stability of solutions of nonlinear quadratic Volterra integral equations of fractional order, Communications on Applied Nonlinear Analysis Vol. 19 No.1 (2012), 79-89.
• M. Benchohra, and B. Hedia Functional differential equations with state-dependent delay on unbounded domains in a Banach space, Communications in Mathematical Analysis Vol. 12 No. 2 (2012), 85-101.
• M. Benchohra, S. Litimein, J. J. Trujillo and M.P. Velasco, Abstract fractional integro-differential equations with state-dependent delay, International Journal of Evolution Equations Vol. 6 No. 2 (2012), 25-38.
• M. Benchohra, F. Berhoun and J.J. Nieto, Fractional differential inclusions with impulses at variable times, Advances in Dynamical Systems and Applications Vol. 7 N° 1 (2012), 1-15.
• S. Abbas, M. Benchohra, and A.N. Vityuk, On Fractional Order Derivatives and Darboux Problem for Implicit Differential Equations, Fractional Calculus and Applied Analysis Vol. 15 N° 2 (2012), 168-182.
• S. Abbas, M. Benchohra, G. N’Guérékata and B.A. Slimani, Darboux problem for fractional order discontinuous hyperbolic partial differential equations in Banach algebras, Complex Variables and Elliptic Equations Vol. 57 N° (2-4) (2012), 337-350.
• S. Abbas, M. Benchohra, and J. Henderson, Asymptotic Behavior of Solutions of Nonlinear Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Integral Equations International Electronic Journal of Pure and Applied Mathematics Vol. 4 No. 3 (2012), 195-209.
• M. Benchohra and D. Seba, Integral equations of fractional order with multiple time delay in Banach spaces Electronic Journal of Differential Equations Vol. 2012 (2012), No. 65, 1-8.
• M. Benchohra and S. Litimein, A global existence and uniqueness result for functional integro-differential equations in Banach spaces, Analele Stiintifice Ale Universitatii « Al. Cuza » Iasi Vol. LVIII (2012), 55-66.
• S. Abbas, D. Baleanu, and M. Benchohra, Global attractivity for fractional order delay partial integrodifferential equations, Advances in Difference Equations Vol. (2012) 19 pages doi: 10.1186/1687-1847-2012-62.
• S. Abbas, M. Benchohra, and J. Graef, Integrodifferential equations of fractional order, Differential Equations and Dynamical Systems Vol. 20 No. 2 (2012), 139-148.
• S. Abbas, and M. Benchohra, Nonlinear quadratic Volterra Riemann-Liouville integral equations of fractional order, Nonlinear Analysis Forum Vol. 17 (2012), 107-115.
• S. Abbas, and M. Benchohra, On the existence and local asymptotic stability of solutions of fractional order integral equations, Commentationes Mathematicae Vol. 52 No 1 (2012), 91-100.
• S. Abbas, M. Benchohra, Impulsive Partial Integrodifferential Equations of Fractional Order, Communications in Applied Analysis. Vol. 16 No. 2 (2012), 249-260.
• M. Benchohra, J. Henderson and D. Seba, Boundary value problems for fractional differential inclusions in Banach spaces, Fractional Differential Calculus Vol. 2 No. 1 (2012), 99-108.
• S. Abbas, and M. Benchohra, Existence and stability for fractional order integral equations multiple time delay in Fréchet spaces, Malaya Journal of Matematic Vol 1, No. 1 (2012), 42-49.
• M. Benchohra, and M. Ziane, Impulsive evolution inclusions with infinite delay and multivalued jumps, Surveys in Mathematics and its Applications Vol. 7 (2012), 1-14.
• S. Abbas, and M. Benchohra, Fractional order Riemann-Liouville integral equations with multiple time delay, Applied Mathematics E-Notes. Vol. 12 (2012), 79-87.
• S. Abbas,  M. Benchohra, and Juan J. Nieto,  Global attractivity of solutions of nonlinear fractional order Riemann- Liouville-Volterra-Stieltjes partial integral equations, Electronic Journal of Qualitative Theory of Differential Equations (2012) No 81, 1-15.
• M. Benchohra, J. Henderson and F. Mostefai, Weak solutions for hyperbolic partial fractional differential inclusions in Banach spaces, Computers and Mathematics with Applications Vol. 64 (2012), 3101-3107.
• S. Abbas, and M. Benchohra, Upper and lower solutions method for Darboux problem for fractional order implicit impulsive partial hyperbolic differential equations, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica. Vol. 51 No 2 (2012), 5-18.
• S. Abbas, M. Benchohra, and A. Cabada, Partial neutral functional integro-differential equations of fractional order with delay, Boundary Value Problems Volume 2012 (2012), 128, 15 pp doi:10.1186/1687-2770-2012-128
• S. Abbas,  M. Benchohra, and G. N’Guérékata,  Asymptotic stability in nonlinear delay differential equations of fractional order, Journal of Nonlinear Evolution Equations and Applications Vol. 2012,  No. 7, 85-96.
• S. Abbas, and M. Benchohra, Fractional order partial hyperbolic differential equations involving Caputo's derivative, Studia Universitatis Babes-Bolyai, Series  Mathematica Vol. 57 No. 4 (2012), 469-479.
• M. Benchohra, J.J. Nieto and A. Ouahab, Impulsive differential inclusions involving evolution operators in separable Banach spaces, Ukrainian Mathematical Journal. Vol. 64 No. 7 (2012), 991-1018.
• S. Abbas, and M. Benchohra, Global stability results for nonlinear partial fractional order Riemann-Liouville Volterra-Stieltjes functional integral equations, Mathematical Science Research Journal Vol. 16 No. 4 (2012), 82-92.
• S. Abbas, and M. Benchohra, A global uniqueness result for fractional order implicit differential equations, Commentationes Mathematica Universitatis Carolinae Vol.53 No. 4 (2012), 605-614.
• M. Benchohra, and M. Ziane, Impulsive semilinear evolution differential inclusions with nonconvex right hand side, Libertas Mathematica Vol. 32 No. 2 (2012), 193-206.
• M. Helal and A. Ouahab, Existence and solution Sets of impulsive functional differential inclusions with multiple delay, Opuscula Mathematica, 32/2 (2012), 249-283.
• S Youcefi, J. Henderson and A. Ouahab, Existence and solutions set for  phi-Laplacian impulsive  differential equations, Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 56, pp. 1-16.
• J. Henderson and A. Ouahab, A Filippov's theorem, some existence results and the compactness of solution sets of impulsive fractional order differential inclusions, Mediterranean Journal of Mathematics, Vol. 9 (2012), 453-485.

• A. Ouahab, Fractional semilinear differential inclusions, Computers & Mathematics with Applications, Vol. 64 (2012), 3235-3252.

  
  

Publications 2013

• S. Abbas, M. Benchohra, and J. Henderson, Asymptotic attractive nonlinear fractional order Riemann-Liouville Integral Equations in Banach algebras, Nonlinear Studies Vol. 20 No. 1 (2013), 1-10.
• M. Benchohra, F.Z. Mostefai, J. J. Nieto and A. Ouahab, Weak solutions of boundary value problem of fractional order on unbounded domains in Banach spaces, Panamerican Mathematical Journal Vol. 23 No. 1 (2013), 75-94.
• M. Benchohra and M. Hellal, Perturbed partial functional fractional order differential equations with infinite delay, Journal of Advanced Research in Dynamical and Control Systems Vol.5 No. 2 (2013), 1-15.
• S. Abbas, and M. Benchohra, Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay, Opuscula Mathematica Vol. 33 (2) (2013), 209-222.
• M. Benchohra, S. Litimein and G. N’Guérékata, On fractional integro-differential inclusions with state-dependent delay in Banach spaces, Applicable Analysis. Vol. 92, No. 2 (2013), 335-350.
• M. Benchohra and B. Hedia, Multiple positive solutions for boundary value problems with fractional order, Electronic Journal of Mathematical Analysis and Applications Vol. 2 No. 2 (2013), 1-10.     (benchohra2013)
• S. Abbas, and M. Benchohra, Nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations on unbounded intervals, Communications in Mathematical Analysis Vol. 14 No. 1 (2013), 104-117.
• M. Benchohra, N. Hamidi, and J. Henderson, Fractional differential equations with anti-periodic boundary conditions, Numerical Functional Analysis and Optimization  Vol. 34 (2013), 1-11.
• M. Benchohra and Z. Boutefal, Impulsive differential equations of fractional order with infinite delay, Journal of Fractional Calculus and Applications, Vol. 5 No. 5  (2013), 1-15.
• M. Benchohra and B. Hedia, Positive solutions for boundary value problems with fractional order, International Journal of Advanced Mathematical Sciences Vol. 1 No. 1 (2013), 12-22. (benaouda2013)
• S. Abbas, and M. Benchohra, Existence and stability for partial functional integro-differential equations of fractional order with multiple time delay, Nonlinear Studies Vol. 20 No. 2  (2013), 147-160 .
• S. Abbas, and M. Benchohra, On the set of solutions of fractional order Riemann-Liouville integral inclusions, Demonstratio Mathematica Vol. XLVI No. 2 (2013), 271-281.
• M. Benchohra, and F.Z. Mostefai, Weak solutions of fractional order Pettis integral inclusions with multiple time delay in Banach spaces, Cubo, A Mathematical Journal Vol. 15 No. 1 (2013), 1-12.
• S. Abbas, and M. Benchohra, A global asymptotic stability for nonlinear multi-delay differential equations of fractional order, Proceedings of the A. Ramadze Mathematical Institute Vol. 161 No. 1 (2013), 1-13.
• M. Benchohra, O. Bennihi and K. Ezzinbi,  Semilinear Functional differential equations of fractional order with state-dependent delay, Commentationes Mathematica Vol. 53 No. 1  (2013), 47-59.
• M. Benchohra and M. Ziane, Impulsive evolution inclusions with state-dependent delay and multivalued jumps, Electronic Journal of Qualitative Theory of Differential Equations 2013, No. 42, 1-21.
• S. Abbas, M. Benchohra, and J.J. Nieto, Functional implicit hyperbolic fractional order differential equations with delay, African Diaspora Journal of Mathematics Vol. 15 No. 1 (2013), 74-96.
• S. Abbas, and M. Benchohra, Existence and attractivity for fractional order integral equations in Fréchet spaces, Discussiones Mathematicae, Differential inclusions, Control and Optimization. Vol. 33 (2013), 47-63.(abbas 2013)
• M. Benchohra, K. Ezzinbi, S. Litimein, Existence and Controllability Results for Fractional Order Integro-differential Inclusions in Fréchet Spaces, Proceedings of the A. Ramadze Mathematical Institute Vol. 162 (2013), 1-23.
• M. Benchohra and J. Lazreg, New results for nonlinear implicit fractional differential equations, Communications in Applied Analysis Vol. 17 No. 3&4 (2013), 471-482.
• S. Abbas, M. Benchohra, S. Sivasundaram, Ulam stability for partial fractional differential inclusions with multiple delay and impulses via Picard operators, J. Nonlinear Stud. Vol. 20 No. 4 (2013), 623-641.
• K. Aissani and M. Benchohra, Semilinear fractional order Integro-differential equations with infinite delay in Banach spaces, Archivum Mathematicum Vol. 49 No. 2 (2013), 105-117.
• S. Abbas, and M. Benchohra, Qualitative theory for fractional order Riemann-Liouville integral equations in two independent variables, Tamsui Oxford Journal of Information and Mathematical Sciences Vol. 29 No. 2 (2013),  239-255.
• S. Abbas, and M. Benchohra, Existence and stability of nonlinear fractional order Riemann-Liouville-Volterra-Stieltjes multi-delay integral equations, Journal of Integral Equations and Applications Vol. 25 No. 2 (2013), 143-158.
• S. Abbas, and M. Benchohra, On the set of solutions for the Darboux problem for fractional order partial hyperbolic functional differential inclusions, Fixed Point Theory Vol. 14 No. 2 (2013), 253-262.
• M. Benchohra I. Medjedj, J.J. Nieto, and P. Prakash, Global existence for functional differential equations with state-dependent delay, Journal of Function Spaces and Applications Volume 2013, Article ID 863561, 7 pages.
• K. Aissani and M. Benchohra, Impulsive fractional evolution inclusions with infinite delay, Electronic Journal of Differential Equations. Vol. 2013 (2013), No. 265, 1-13.
• H. Hammouche, K. Guerbati, M. Benchohra, and N. Abada, Existence results for impulsive semilinear functional differential inclusions with delay in Banach spaces, Discussiones Mathematicae, Differential inclusions, Control and Optimization. Vol. 33 No. 2 (2013), 149-170.
• M. Benchohra and I. Medjedj, Global Existence and stability results for functional differential equations with delay, Communications in Applied Analysis  Vol. 17 No. 2 (2013), 213-220.
• S. Abbas, M. Benchohra, and T. Diagana, Existence and attractivity results for some fractional order partial integro-differential equations with delay, African Diaspora Journal of Mathematics Vol. 15 No. 2 (2013), 87-100.
• S. Abbas, and M. Benchohra, Uniqueness results for Fredholm type fractional order Riemann-Liouville integral equations, Fasciculi Mathematici Vol. 51 (2013), 5-19.
• Y. Chalco-Cano1, J. J. Nieto, A. Ouahab and H. Roman-Flores, Solution set for fractional differential equations with Riemann-Liouville derivative, Fractional  Calculus and applied Analysis 16 (2013), no. 3, 682--694.

Publications 2014

• S. Abbas, and M. Benchohra, Fractional order integral equations of two independent variables, Applied Mathematics and Computation Vol. 227 (2014), 755-761.

• S. Abbas, M. Benchohra, and A. Hammoudi, Upper, lower solutions method and extremal solutions for impulsive discontinuous partial fractional differential inclusions, Panamerican Mathematical Journal Vol. 24 No. 1 (2014), 31-52.

• K. Aissani and M. Benchohra, Existence results for fractional functional Integro-differential equations with state-dependent delay, Advances in Dynamical Systems and Applications Vol. 9 No. 1 (2014), 17-30.

• K. Aissani and M. Benchohra, Controllability of impulsive fractional differential equations with infinite delay, Libertas Mathematica Vol. 34 No. 1 (2014), 31-48.

• M. Benchohra and M. Hellal, Global uniqueness results for fractional partial hyperbolic differential equations with state-dependent delay, Annales Polonici Mathematici Vol. 110 No. 3 (2014), 259-281.

• S. Abbas, and M. Benchohra, Ulam stabilities for the Darboux problem for partial fractional differential and integro-differential equations, Results in Mathematics Vol. 65 No. 1&2 (2014), 67-79.

• M. Benchohra and J. Lazreg, Existence and uniqueness results for nonlinear implicit fractional differential equations with boundary conditions, Romanian Journal of Mathematics and Computer Science Vol. 4 No. 1 (2014), 44-56.

• A. Baliki and M. Benchohra, Global existence and asymptotic behaviour for functional evolution equations, Journal of Applied Analysis and Computation Vol. 4 No. 2 (2014), 129-138.

• M. Benchohra, and S. Litimein, Functional Integro-differential equations with state dependent delay in Fréchet spaces, Memoirs on Differential Equations and Mathematical Physics Vol. 61 (2014), 21-36.

• M. Benchohra and F. Ouaar, On controllability for fractional differential equations on unbounded intervals, Nonlinear Analysis Forum Vol. 19 (2014), 15-25 .
• M. Benchohra, F. Berhoun, N. Hamidi and J.J. Nieto, Fractional differential inclusions with anti-periodic boundary conditions, Nonlinear Analysis Forum Vol. 19 (2014), 27-35.
• M. Benchohra and A. Boukenkoul, An existence and uniqueness theorem for fuzzy H integral equations of fractional order Malaya Journal of Mathematics Vol. 2 No. 2 (2014), 151-159.
• S. Abbas, and M. Benchohra, On the generalized Ulam-Hyers-Rassias stability for Darboux problem for partial fractional implicit differential equations, Applied Mathematics-E-Notes Vol. 14 (2014), 20-28.
• S. Abbas, M. Benchohra, and J.J. Nieto, Ulam stability for impulsive partial fractional differential equations, Acta Universitatis Palackianae Olomucensis Vol. 53 No. 1 (2014), 5-17.
• S. Abbas, M. Benchohra, and J. Henderson, Ulam stability for partial fractional integral inclusions via Picard operators, Journal of Fractional Calculus and Applications Vol 5 No. 2 (2014), 133-144.
• M. Benchohra, J.J. Nieto and A. Ouahab, Topological structure of the solutions set of impulsive semilinear differential inclusions with nonconvex right-hand side, African Diaspora Journal of Mathematics Vol 16 No. 2 (2014), 72-91.
• A. Baliki and M. Benchohra, Global existence and stability for neutral functional evolution equations with state-dependent delay, Nonautonomous Dynamical Systems Vol. 1 No. 1 (2014), 112-122.
• M. Benchohra and I. Medjedj, Global existence results for functional differential inclusions with delay, Nonlinear Oscillations Vol. 17 No. 2 (2014), 161-169.
• M. Benchohra and M. Hellal, Perturbed partial fractional order functional differential equations with infinite delay in Fréchet spaces, Nonlinear Dynamics and System Theory Vol. 14 No. 3 (2014), 243-256.
• M. Benchohra, F.Z. Mostefai, and J. J. Nieto, Weak solutions for hyperbolic partial fractional differential equations in Banach spaces, Afrika Matematica Vol. 25 (2014), 605-615.
• S. Abbas, and M. Benchohra, Ulam stability for impulsive discontinuous partial fractional differential equations in Banach algebras, Journal of Nonlinear Evolutions Equations and Applications Vol. 2014 No. 1 (2014), 1-12.
• M. Benchohra and J. Lazreg, Existence results for nonlinear implicit fractional differential equations, Surveys in Mathematics and its Applications Vol. 9 (2014), 79-92.
• S. Abbas, M. Benchohra, M. Rivero, and J. Trujillo, Existence and stability results for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes quadratic integral equations, Applied Mathematics and Computation Vol. 247 (2014),  319-328.
• M. Benchohra, J. Henderson and I. Medjedj, Global existence results for functional differential inclusions with state-dependent delay, Mathematical Modelling and Analysis Vol. 19 No. 4 (2014), 524-536.
• S. Abbas, and M. Benchohra, Existence of solutions to fractional-order impulsive hyperbolic partial differential inclusions, Electronic Journal of Differential Equations Vol. 2014 (2014) No. 196, 1-13.
• M. Benchohra, O. Bennihi and K. Ezzinbi, Existence results for some neutral functional differential equations of fractional order with state-dependent delay. Cubo, A Mathematical Journal Vol. 16 No. 3 (2014), 37-53.
• S. Abbas, and M. Benchohra, Ulam stabilities for the Darboux problem for partial fractional differential inclusions, Demonstratio Mathematica Vol. 47 No. 4 (2014), 826-838.
• S. Abbas, M. Benchohra, and A. Petrusel, Ulam stability for partial fractional differential inclusions via Picard operators, Electronic Journal of Qualitative Theory of Differential Equations 2014, No. 51, 1-13.
• K. Aissani, M. Benchohra, and M.A. Darwish, Controllability of fractional order integro-differential inclusions with infinite delay, Electronic Journal of Qualitative Theory of Differential Equations 2014 No. 52, 1-18.
• K. Aissani, M. Benchohra and K. Ezzinbi, Fractional integro-differential equations with state-dependent delay, Discussioness Mathematicae Differential Inclusions, Control and Optimization, Vol. 34 No. 2 (2014), 153-167.
• M. Benchohra and Z. Boutefal, Impulsive hyperbolic system of partial differential equations of fractional order with delay, Commentationes Mathematica Vol. 54 No. 2 (2014), 179-189.
• M. Benchohra and M.S. Souid, Integrable solutions for implicit fractional order differential equations, Transylvanian Journal of Mathematics and Mechanics Vol. 6 No. 2 (2014), 101-107.
• J. Henderson and A. Ouahab, Differential inclusions in Almgren sense on unbounded dominas, Ann. Pol. Math. 110 (2014), 91-99.
• A. Lakmeche, I. Mammar and A. Ouahab, Existence results for prion disease model with impulse effects, Communications in Applied Analysis, 21 (2014),  41-52.
• J. Henderson and A. Ouahab, Some multivalued fixed point theorems in topological vector spaces, Journal of Fixed point Theory, 2014 (2014), Article ID 3.

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Publications 2015

• S. Abbas, M. Benchohra and J. J. Trujillo, Upper and lower solutions method for partial fractional differential inclusions with not instantaneous impulses, Progress in Fractional Differentiation and Applications. Vol. 1 No. 1 (2015), 11-22.

• A. Baliki and M. Benchohra, Global existence and stability for neutral functional evolution equations, Romanian Journal of Pure and Applied Mathematics Vol. LX No. 1 (2015), 71-82.

   

  S. Abbas, M. Benchohra, and M. A. Darwish, New stability results for partial fractional differential inclusions with not instantaneous impulses, Fractional Calculus and Applied Analysis Vol 18 No. 1 (2015), 172-191.

   

  M. Benchohra, S. Bouriah and J. Henderson, Existence and stability results for nonlinear implicit neutral fractional differential equations with finite delay and impulses, Communications on Applied Nonlinear Analysis Vol. 22 No. 1 (2015), 46-67.

   

  S. Abbas, M. Benchohra and B.A. Slimani, Existence and Ulam stabilities for partial fractional random differential inclusions with nonconvex right hand side, Panamerican Mathematical Journal. Vol. 25 No. 1 (2015), 95-110.

   

  S. Abbas, M. Benchohra and B.A. Slimani, Partial hyperbolic implicit differential equations with variable times impulses, Studia Universitatis Babes-Bolyai Mathematica Vol. 60 No. 1 (2015), 61-73.

   

  M. Benchohra and M.S. Souid, Integrable solutions for implicit fractional order functional differential equations with infinite delay, Archivum Mathematicum Vol. 51No. 1 (2015), 13-22.

   

  S. Abbas, and M. Benchohra, Some stability concepts for Darboux problem for partial fractional differential equations on unbounded domain, Fixed Point Theory Vol. 16 No. 1 (2015), 3-14.

   

  S. Abbas, and M. Benchohra, Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses, Applied Mathematics and Computation Vol. 257 (2015), 190-198.

   

  A. Boudaoui, T. Caraballo and A. Ouahab,  Stochastic delay evolution equations with impulses existence of mild solutions to  stochastic delay evolution equations with  a fractional Brownian motion and impulses, Stochastic Analysis and Applications,  33 (2015) , 244-258.

Articles acceptés pour publication

• L. Gorniewicz and A. Ouahab, Some fixed point theorems of a Krasnosel'skii type and application to differential inclusions, Fixed point Theory
• M. Benchohra, and F.Z. Mostefai, Fractional order Pettis integral equations with multiple time delay in Banach spaces, Scientific Annals of Al. I. Cuza University of Iasi.

• K. Aissani and M. Benchohra, Global existence results for fractional integro-differential equations with state-dependent delay, Scientific Annals of Al. I. Cuza University of Iasi.

   

  M. Benchohra and J. Lazreg, Existence results for nonlinear implicit fractional differential equations with impulses, Communications in Applied Analysis.

   

  M. Benchohra and I. Medjedj, Global existence results for neutral functional differential equations with state-dependent delay, Differential Equations and Dynamical Systems.

   

  A. Ouahab, Some Perov's and Krasnosel'skii type fixed point results and application,    Communications in Applied Analysis.

   

  S. Abbas, and M. Benchohra, Existence and Ulam stability for partial impulsive discontinuous fractional differential inclusions in Banach algebras, Mediterranean Journal of Mathematics.

   

  S. Abbas, M. Benchohra and Y. Zhou, Some stability concepts for abstract fractional differential equations with not instantaneous impulses, Fixed Point Theory.

   

  M. Benchohra and M.S. Souid, L^1-solutions for implicit fractional order differential equations with nonlocal conditions, Filomat.

   

  M. Benchohra and J. Lazreg, On stability for nonlinear implicit fractional differential equations, Le Matematiche.

   

  S. Abbas, W. Albarakati, M. Benchohra, M. A. Darwish and E. Hilal, New existence and stability results for partial fractional differential inclusions with multiple delay, Annales Polonici Mathematici.

   

  M. Benchohra and A. Boukenkoul, Fuzzy partial fractional order hyperbolic differential equations, Journal of Fuzzy Mathematics.

   

  T. Blouhi, J.J. Nieto and A. Ouahab, Existence and uniqueness results for systems of impulsive  stochastic  differential equations,  Ukranians Mathematicas Journal.

   

  J.R. Graef, J. Henderson and A. Ouahab, Fractional Differential Inclusions in the Almgren  Sense,  Fractional   Calculus  and applied Analysis.

   

  M. Arbaoui,  J.R. Graef, J. Henderson and A. Ouahab, Fractional Differential Inclusions in the Almgren Sense with Riemann-Liouville Derivative,  Progr. Fract. Differ. Appl.

Projets de recherche :

CNEPRU :

Benchohra

• (code: B*2201/03/2000) « Differential Equations and Inclusions applied to problems in Biology and Control» (MESRS) (2001-2003
• (code: B*2201/06/2004) « Continuous and Impulsive Dynamical Systems»  (MESRS)  (2004-2006).
• (code : B021220060092) « Study of Some Classes of Dynamic Equations and Inclusions on Time Scales» (MESRS) (2007-2009)
• (code : B02120090028) « Quantitative and qualitative study of fractional order differential equations» (MESRS, 2010-212)
• (code : B02120120015) «Fractional Differential Equations; existence and  stability of solutions» (MESRS, 2013-2015)

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Ouahab

• (Code: B02120090028) “Qualitative and Quantitative for some fractional differential equations.” (MESRS, 2014-2016)

Prix et distinctions :

• BENCHOHRA Mouffok : Prix Maurice Audin (2008) http://www.ann.jussieu.fr/AUDIN/web/palm.htm
• BENCHOHRA Mouffok : Prix Maurice Audin (2008) http://www.ann.jussieu.fr/AUDIN/web/palm.htm